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On line Solution of Monovariate Equation：
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
It supports equations that contain mathematical functions.
Current location：Equations > Monovariate Equation > The history of univariate equation calculation > Answer
Overview: 1 questions will be solved this time.Among them
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x-11300-(x/1.13*0.13-1300)-(x/1.13*0.13-1300)*0.12-(x/1.13+10000)*0.0003-{(x/1.13-10000-(x/1.13-1300)*0.12-(x/1.13+10000)*0.0003)*0.25} = 0 .
Question type: Equation
Solution:Original question:
Remove the bracket on the left of the equation:
The equation is transformed into :
Transposition :
Combine the items on the right of the equation:
The coefficient of the unknown number is reduced to 1 :
We obtained :
This is the solution of the equation.
Convert the result to decimal form :
☆1 equations
[ 1/1 Equation]
Work: Find the solution of equation x-11300-(x/1.13*0.13-1300)-(x/1.13*0.13-1300)*0.12-(x/1.13+10000)*0.0003-{(x/1.13-10000-(x/1.13-1300)*0.12-(x/1.13+10000)*0.0003)*0.25} = 0 .
Question type: Equation
Solution:Original question:
| x | − | 11300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) | = | 0 |
| Left side of the equation = | x | − | 11300 | − | x | ÷ | 113 100 | × | 13 100 | + | 1300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | x | − | 11300 | − | x | × | 13 113 | + | 1300 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | ( | x | ÷ | 113 100 | × | 13 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | x | ÷ | 113 100 | × | 13 100 | × | 3 25 | + | 1300 | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 100 113 | x | − | 10000 | − | x | × | 39 2825 | + | 156 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | x | ÷ | 113 100 | × | 3 10000 | − | 10000 | × | 3 10000 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 2461 2825 | x | − | 9844 | − | x | × | 3 11300 | − | 3 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 9841 11300 | x | − | 9847 | − | ( | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 | ) |
| = | 9841 11300 | x | − | 9847 | − | ( | x | ÷ | 113 100 | − | 10000 | − | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | − | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 10000 | ) | × | 1 4 |
| = | 9841 11300 | x | − | 9847 | − | x | ÷ | 113 100 | × | 1 4 | + | 10000 | × | 1 4 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 25 | × | 1 4 | + | ( | x | ÷ | 113 100 | + | 10000 | ) |
| = | 9841 11300 | x | − | 9847 | − | x | × | 25 113 | + | 2500 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | ( | x | ÷ | 113 100 | − | 1300 | ) | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | x | ÷ | 113 100 | × | 3 100 | − | 1300 | × | 3 100 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7341 11300 | x | − | 7347 | + | x | × | 3 113 | − | 39 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | ( | x | ÷ | 113 100 | + | 10000 | ) | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | x | ÷ | 113 100 | × | 3 40000 | + | 10000 | × | 3 40000 |
| = | 7641 11300 | x | − | 7386 | + | x | × | 3 45200 | + | 3 4 |
| = | 30567 45200 | x | − | 29541 4 |
30567 45200 | x | − | 29541 4 | = | 0 |
Transposition :
30567 45200 | x | = | 0 | + | 29541 4 |
Combine the items on the right of the equation:
30567 45200 | x | = | 29541 4 |
The coefficient of the unknown number is reduced to 1 :
| x | = | 29541 4 | ÷ | 30567 45200 |
| = | 29541 4 | × | 45200 30567 |
| = | 9847 | × | 11300 10189 |
We obtained :
| x | = | 111271100 10189 |
Convert the result to decimal form :
| x | = | 10920.708607 |